Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/12, 77/26, 70/15, 86/919 quickly i.e. 198660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/12, 77/26, 70/15, 86/919 is 198660.
LCM(60/12, 77/26, 70/15, 86/919) = 198660
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/12,77/26,70/15,86/919
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 60,77,70,86
Least Common Multiple of Numerators i.e. LCM of 60,77,70,86 is 198660.
GCF of Denominators means GCF of 12,26,15,919 as per the given fractions.
GCF of 12,26,15,919 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,77,70,86
2 | 60, 77, 70, 86 |
5 | 30, 77, 35, 43 |
7 | 6, 77, 7, 43 |
6, 11, 1, 43 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 6 x 11 x 1 x 43 = 198660
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 60,77,70,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,77,70,86) = 1
common factors(in case of two or more numbers have common factors) = 140
GCF(60,77,70,86) x common factors =1 x 140 = 140
LCM(60,77,70,86) = ( 60 × 77 × 70 × 86 ) / 140
LCM(60,77,70,86) = 27812400 / 140
LCM(60,77,70,86) = 198660
Lets's calculate GCF of 12,26,15,919
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198660/1
Therefore the LCM of Fractions 60/12,77/26,70/15,86/919 is 198660
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 919
List of positive integer factors of 919 that divides 919 without a remainder.
1,919
Greatest Common Factor
We found the factors 12,26,15,919 . The biggest common factor number is the GCF number.
So the greatest common factor 12,26,15,919 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 60/12, 77/26, 70/15, 86/919?
Answer: LCM of Numerators as per given numbers 60/12, 77/26, 70/15, 86/919 is
LCM of Numerators i.e. for 60,77,70,86 is 198660
GCF of denominators i.e. for 12,26,15,919 is 1.
Thus, LCM of Fractions is 198660.Finally, LCM of Fractions for 60/12, 77/26, 70/15, 86/919 is 198660.